Consider a plant whose transfer function is 1/(20s + 0.2).

Chapter , Problem 10.46

(choose chapter or problem)

Consider a plant whose transfer function is 1/(20s + 0.2). The performance specifications are

1. The magnitude of the steady-state command error must be no more than 0.01 for a unit-ramp command.

2. The damping ratio must be unity.

3. The dominant time constant must be no greater than 0.1.

a. Select a control algorithm to meet the first specification, and compute the required values of its gains. What is the damping ratio that results? What is the time constant?

b. Select a control algorithm to meet the first two specifications, and compute the required values of its gains. Evaluate the resulting time constant.

c. Select a control algorithm to meet all three specifications.